Certified Tutors From Midland University

The student and I continued reviewing homework covering trigonometric functions, how to graph the six trig functions along with any phase shift, amplitude change or period change. We reviewed and worked on problems involving the unit circles, various trig identities, angular velocity and sector area, and arc length.

During this session we went over one of the student's homework assignments. It was very similar to the last assignment and dealt with confidence intervals, Z intervals, null hypothesis testing, type I and II errors, and interpretation. The student did great today!

Reviewed assignment on matrix operations. Focused on solving systems of equations using augmented matrices and reduced echelon form. Also discussed nature of inverse matrices and identity matrices. Also reviewed and practiced basic arithmetic operations on matrices, focusing on multiplying matrices.

We went through the student's test, to help her understand the mistakes she made. By the end, she felt comfortable with the problems. Often it was a trivial mistake that I'm sure she won't make again.

We covered concepts relating to special relativity and heat transfer between objects. The student struggled at first with knowing how and when to use the various equations he was given for time dilation, length contractions, and Lorentz coordinate transformations. I helped him to make sense of these interrelated ideas as he worked through homework problems. When it came to heat transfer, I showed him how to apply the concept of equilibrium to problem solving. He struggled with setting up the problems at first, but after we discussed a few homework problems, he was able to do a much better job.

We covered derivatives of special functions such as e^x, a^x, ln(x), and log(x). We did a fun practice problem of finding the derivative of e^(x^x). We worked on a few derivative problems involving the special functions. We then shifted gears working on first and second derivative tests and what the critical points/inflection points mean. Overall, it was a great session. The student is going to get a hold of his quiz potentially so we can go over it in a future session.